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ON THE QUATERNIONIC CURVES ACCORDING TO PARALLEL TRANSPORT FRAME

ArticleAçık Erişim

Özet

In this paper, we have studied parallel transport frame for a quaternionic curve in E-3 and E-4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and sufficient conditions for the quaternionic slant helix in E-3. We have introduced a new definition of harmonic curvature functions in terms of M-3 according to parallel transport frame and defined quaternionic M-3-slant helix by using the new harmonic curvature functions in E-4.

Anahtar Kelimeler

Parallel transport framequaternionic curvesquaternionic M-3-slant helixrotationsquaternionic spaceMathematics, AppliedMathematics
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorSoyfidan, T.
dc.contributor.authorParlatici, H.
dc.contributor.authorGungor, M. A.
dc.date.accessioned2026-10-18T20:42:58.301675075Z
dc.date.available2026-10-18T20:42:58.301675075Z
dc.date.issued2013
dc.description.abstractIn this paper, we have studied parallel transport frame for a quaternionic curve in E-3 and E-4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and sufficient conditions for the quaternionic slant helix in E-3. We have introduced a new definition of harmonic curvature functions in terms of M-3 according to parallel transport frame and defined quaternionic M-3-slant helix by using the new harmonic curvature functions in E-4.
dc.identifier.eissn2219-1259
dc.identifier.endpage203
dc.identifier.issn2076-2585
dc.identifier.issue2
dc.identifier.startpage194
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/17029
dc.identifier.volume4
dc.identifier.wosWOS:000219029700009
dc.language.isoen
dc.publisherINST APPLIED MATHEMATICS
dc.relation.ispartofTWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectParallel transport frame
dc.subjectquaternionic curves
dc.subjectquaternionic M-3-slant helix
dc.subjectrotations
dc.subjectquaternionic space
dc.subjectMathematics, Applied
dc.subjectMathematics
dc.titleON THE QUATERNIONIC CURVES ACCORDING TO PARALLEL TRANSPORT FRAME
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos3
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)